Question

Two identical thin rings, each of radius a meter, are coaxially placed at a distance R meter apart. If Q₁ coulomb and Q₂ coulomb are respectively the charges uniformly spread on the two rings, the work done in moving a charge q coulomb from the centre of one ring to that of the other is ______.

Options

• zero

• `("q"("Q"_1 - "Q"_2)(sqrt2 - 1))/(4sqrt2 piepsilon_0"a")`

• `("q"sqrt2 ("Q"_1 + "Q"_2))/(4piepsilon_0"a")`

• `("q"("Q"_1 + "Q"_2)(sqrt2 + 1))/(4sqrt2 piepsilon_0"a")`

Answer 1

Two identical thin rings, each of radius a meter, are coaxially placed at a distance R meter apart. If Q₁ coulomb and Q₂ coulomb are respectively the charges uniformly spread on the two rings, the work done in moving a charge q coulomb from the centre of one ring to that of the other is `underline(("q"("Q"_1 - "Q"_2)(sqrt2 - 1))/(4sqrt2 piepsilon_0"a"))`.